From the time the car enters the highway, how long will it take the car to pass the truck?

Question

A truck enters a highway driving 60 mph. A car enters the highway at the same place 10 minutes later and drives 71 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?

Answer 1

distance = time times speed

60mph times h hours = 71

60h = 71(h-10/60)

60h = 71h -71/6

11h= 71/6

h= 71/66 = about 1.18333..hr = 1 hour and 11 minutes for the truck to meet the car

in 71/66 hour the truck goes 71(60)/66 = 710/11 = 64 6/11 = 64.545454... miles

in 71/66- 1/6 hr, the car goes 71(71)/66 - 71/6 = (5041/66- 781/66= 64.545454... miles

the same distance

the time from the car entering the highway to catching the truck

= 71/66 -1/6 hour

= 71/66 -11/66

= 60/66

=10/11 of an hour

= 54 minutes and almost 33 seconds